Search a number
-
+
9914040487692 = 22321173342951449
BaseRepresentation
bin1001000001000100101011…
…0111001000111100001100
31022002202212112020120211100
42100101022313020330030
52244412423331101232
633030240342223100
72042160110503245
oct220211267107414
938082775216740
109914040487692
113182580440160
1211414a8124a90
1356bb75462483
14263bb0ac3ccc
15122d48687c7c
hex9044adc8f0c

9914040487692 has 72 divisors (see below), whose sum is σ = 27713220771600. Its totient is φ = 2963100510720.

The previous prime is 9914040487627. The next prime is 9914040487699. The reversal of 9914040487692 is 2967840404199.

9914040487692 is a `hidden beast` number, since 9 + 9 + 140 + 4 + 0 + 487 + 6 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9914040487699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171446817 + ... + 171504632.

It is an arithmetic number, because the mean of its divisors is an integer number (384905844050).

Almost surely, 29914040487692 is an apocalyptic number.

It is an amenable number.

9914040487692 is an abundant number, since it is smaller than the sum of its proper divisors (17799180283908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9914040487692 is a wasteful number, since it uses less digits than its factorization.

9914040487692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342951543 (or 342951538 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 9914040487692 in words is "nine trillion, nine hundred fourteen billion, forty million, four hundred eighty-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1314 1606 2409 2628 3212 4818 7227 9636 14454 28908 342951449 685902898 1028854347 1371805796 2057708694 3086563041 3772465939 4115417388 6173126082 7544931878 11317397817 12346252164 15089863756 22634795634 25035455777 33952193451 45269591268 50070911554 67904386902 75106367331 100141823108 135808773804 150212734662 225319101993 275390013547 300425469324 450638203986 550780027094 826170040641 901276407972 1101560054188 1652340081282 2478510121923 3304680162564 4957020243846 9914040487692